Dual citizenships is not really that impressive sry.
https://it.usembassy.gov/u-s-citizen-services/doctors/
https://it.usembassy.gov/u-s-citizen-services/doctors/
"Private hospitals normally have higher fees than public hospitals. Patients in private hospitals are generally required to pay fees upfront before leaving the hospital. (Patients with insurance may subsequently seek reimbursement from their insurance companies.) Some private hospitals may be “accredited” which means that fees can be reimbursed by the Italian National Health Service if the patient is an official resident in Italy and affiliated with the National Health System. It is highly recommended that tourists obtain medical insurance with overseas coverage before travelling to Italy.
For more information click here insurance providers for overseas coverage."